@mailpravink Did you test your app on standard (available at the store) Monaca Debugger? You need to test your app with custom Monaca Debugger because the api.ai plugin is not included in the standard Monaca Debugger. Please refer to:
How to build custom debugger for Android
How to build custom debugger for iOS

@Carlos-Mejía Ok, I see now. Can you confirm if this codepen works? https://codepen.io/anon/pen/jMgoQG?editors=1010
The issue with the style that you have, is that the templates are nested inside of an ons-page and therefore they are trying to be rendered. I have moved them outside of that tag and everything appears to be working on my end, but I want to make sure it works on your devices.